adelina
It's bad at that because F-Droid apparently updates itself and the apk they have on their site isn't the right one. So, if you try to install F-Droid on another profile, it'll probably come up with a cryptic error and not install.
If you plan on having F-Droid in multiple profiles I'd suggest installing it first in owner, then install it from owner to the profiles that need it, then install apps from F-Droid in whichever profile you'd like. This way if you update F-Droid or any app within F-Droid in one profile, the app will update for all profiles.